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singapore math overview

Yeap Ban HarNational Institute of Education

Singapore

www.banhar.com

Session 1

Number Bonds is emphasized prior to the learning of addition.

Children are given, say, 5 unifix cubes and guided to see that 1 and 4 make 5, for example. Others may say that 3 and 2 make 5 or 4 and 1 make 5. Yet others may say that 5 and 0 make 5.

Earlybird Kindergarten Mathematics (Standards Edition)

Number Bonds

PCF Telok Blangah Kindergarten

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One duck is big. Six ducklings are small.

PCF Telok Blangah Kindergarten

PCF Telok Blangah Kindergarten

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PCF Telok Blangah Kindergarten

PCF Telok Blangah Kindergarten

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PCF Telok Blangah Kindergarten

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Jerome Bruner’s Theory of

Representations • Enactive• Iconic• Symbolic

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Number Bondscontinues to receive attention in Grade 1.

My Pals Are Here Mathematics Textbook 1A

Think!

Two materials are used on this textbook page – unifix cubes and maths balance.

What mathematical concepts are embodied in

these materials? Is the sequence developmental?

Why the need to have both lessons?

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My Pals Are Here Mathematics Textbook 1A

3 + 1 = 4The materials embody

the part-whole concept and the notion of conservation of numbers.

3 + 4 = 7The materials embody

the concept of equality and give meaning to the equal sign.

The maths balance in a Singapore classroom is used with a teacher-created equation board to help first graders master the concept of the equal sign. Students who do not receive high-quality instruction often perceives the equal sign as a signal to give an answer and make mistakes such as 4 + 3 = 7 + 5.

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Let’s Consolidate

In the previous section, we saw Bruner’s theory

translated into practice in the learning of numbers

bonds. In the next section, we discuss the applications

of number bonds as the foundation for mental

computations – another basic in Singapore Math.

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50 7

Find the value of 57 - 5

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40 17

Find the value of 57 - 9

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48 9

Find the value of 57 - 9

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30 27

Find the value of 57 ÷ 3

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60 -3

Find the value of 57 ÷ 3

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40 17

Find the value of 57 ÷ 4

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50 7

Find the value of 57 x 4

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Think!As you use the tens frame in the next activity, think

about what your students learn in the use of tens frame to learn addition

facts.

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LEAP Program in Manila, The Philippines

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LEAP Program in Manila, The Philippines

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Summary

Singapore Math uses the CPA Approach derived from

the Bruner’s theory of representations of

mathematical ideas. Singapore Math does not

focus on computations per se. In fact mathematics is

seen as ‘an excellent vehicle for the

development and improvement of a person’s intellectual competence”.

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Looking Forward

Two other major theories are fundamental to

Singapore Math – Dienes’ Theory and Skemp’s

Theory. These will be dealt with in the next session on

textbook study.

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